Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-05-12
Nucl.Phys.B668:293-321,2003
Physics
High Energy Physics
High Energy Physics - Theory
39 pages. LaTeX. 4 figures. Typos corrected. Comments and references added. To appear in Nuclear Physics B
Scientific paper
10.1016/S0550-3213(03)00582-0
In this paper we study general properties of noncommutative field theories obtained from the Seiberg-Witten limit of string theories in the presence of an external B-field. We analyze the extension of the Wightman axioms to this context and explore their consequences, in particular we present a proof of the CPT theorem for theories with space-space noncommutativity. We analyze as well questions associated to the spin-statistics connections, and show that noncommutative N=4, U(1) gauge theory can be softly broken to N=0 satisfying the axioms and providing an example where the Wilsonian low energy effective action can be constructed without UV/IR problems, after a judicious choice of soft breaking parameters is made. We also assess the phenomenological prospects of such a theory, which are in fact rather negative.
Alvarez-Gaume Luis
Vazquez-Mozo Miguel Angel
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